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106405202596 = 227115364110169
BaseRepresentation
bin110001100011000111…
…1101000101010100100
3101011122120011100101111
41203012033220222210
53220404212440341
6120514252434404
710454551204360
oct1430617505244
9334576140344
10106405202596
1141142a65670
1218756a78a04
13a05981bb54
1452159ca2a0
152b7b712681
hex18c63e8aa4

106405202596 has 96 divisors (see below), whose sum is σ = 236929432320. Its totient is φ = 40606924800.

The previous prime is 106405202591. The next prime is 106405202597. The reversal of 106405202596 is 695202504601.

It is a super-2 number, since 2×1064052025962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106405202591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10458600 + ... + 10468768.

It is an arithmetic number, because the mean of its divisors is an integer number (2468014920).

Almost surely, 2106405202596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106405202596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118464716160).

106405202596 is an abundant number, since it is smaller than the sum of its proper divisors (130524229724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106405202596 is a wasteful number, since it uses less digits than its factorization.

106405202596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 106405202596 in words is "one hundred six billion, four hundred five million, two hundred two thousand, five hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 641 742 1166 1282 1484 2332 2564 4081 4487 7051 8162 8974 10169 14102 16324 17948 20338 28204 33973 40676 49357 67946 71183 98714 111859 135892 142366 197428 223718 237811 284732 373703 447436 475622 538957 747406 783013 951244 1077914 1494812 1566026 2155828 2615921 3132052 3772699 5231842 5928527 6518329 7545398 10463684 11857054 13036658 15090796 23714108 26073316 41499689 45628303 71701619 82999378 91256606 143403238 165998756 182513212 286806476 345471437 501911333 690942874 1003822666 1381885748 2007645332 2418300059 3800185807 4836600118 7600371614 9673200236 15200743228 26601300649 53202601298 106405202596