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106025165112 = 23319232511327
BaseRepresentation
bin110001010111110010…
…1111010000100111000
3101010200002001102222010
41202233211322010320
53214114420240422
6120412435125520
710442255014356
oct1425745720470
9333602042863
10106025165112
1140a684948a9
121866b7438a0
139cc8b798b9
1451bb3407d6
152b58193b0c
hex18af97a138

106025165112 has 32 divisors (see below), whose sum is σ = 279013593600. Its totient is φ = 33481630944.

The previous prime is 106025165053. The next prime is 106025165149. The reversal of 106025165112 is 211561520601.

It is a super-2 number, since 2×1060251651122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106025165112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116255208 + ... + 116256119.

It is an arithmetic number, because the mean of its divisors is an integer number (8719174800).

Almost surely, 2106025165112 is an apocalyptic number.

106025165112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106025165112 is an abundant number, since it is smaller than the sum of its proper divisors (172988428488).

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

106025165112 is a wasteful number, since it uses less digits than its factorization.

106025165112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232511355 (or 232511351 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 106025165112 its reverse (211561520601), we get a palindrome (317586685713).

The spelling of 106025165112 in words is "one hundred six billion, twenty-five million, one hundred sixty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 232511327 465022654 697533981 930045308 1395067962 1860090616 2790135924 4417715213 5580271848 8835430426 13253145639 17670860852 26506291278 35341721704 53012582556 106025165112