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106367787352 = 23537911032879
BaseRepresentation
bin110001100010000000…
…0111010000101011000
3101011112221202110022201
41203010000322011120
53220320123143402
6120510434455544
710453615163131
oct1430400720530
9334487673281
10106367787352
114112392aa82
12187464345b4
13a051b4b958
145210a4ac88
152b782c1687
hex18c403a158

106367787352 has 64 divisors (see below), whose sum is σ = 206032896000. Its totient is φ = 51455324544.

The previous prime is 106367787341. The next prime is 106367787353. The reversal of 106367787352 is 253787763601.

It is a happy number.

It is a super-2 number, since 2×1063677873522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106367787293 and 106367787302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106367787353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36944649 + ... + 36947527.

It is an arithmetic number, because the mean of its divisors is an integer number (3219264000).

Almost surely, 2106367787352 is an apocalyptic number.

It is an amenable number.

106367787352 is a deficient number, since it is larger than the sum of its proper divisors (99665108648).

106367787352 is a wasteful number, since it uses less digits than its factorization.

106367787352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 106367787352 in words is "one hundred six billion, three hundred sixty-seven million, seven hundred eighty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 8 53 79 106 158 212 316 424 632 1103 2206 2879 4187 4412 5758 8374 8824 11516 16748 23032 33496 58459 87137 116918 152587 174274 227441 233836 305174 348548 454882 467672 610348 697096 909764 1220696 1819528 3175537 4618261 6351074 9236522 12054373 12702148 18473044 24108746 25404296 36946088 48217492 96434984 168303461 250867423 336606922 501734846 673213844 1003469692 1346427688 2006939384 13295973419 26591946838 53183893676 106367787352