105155337924672 has 448 divisors, whose sum is σ = 340699414616064. Its totient is φ = 27940967055360.

The previous prime is 105155337924667. The next prime is 105155337924677. The reversal of 105155337924672 is 276429733551501.

It is an interprime number because it is at equal distance from previous prime (105155337924667) and next prime (105155337924677).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×105155337924672² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105155337924677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644209147 + ... + 644372357.

It is an arithmetic number, because the mean of its divisors is an integer number (760489764768).

Almost surely, 2^{105155337924672} is an apocalyptic number.

105155337924672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105155337924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170349707308032).

105155337924672 is an abundant number, since it is smaller than the sum of its proper divisors (235544076691392).

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

105155337924672 is a wasteful number, since it uses less digits than its factorization.

105155337924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163586 (or 163576 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 60.

The spelling of 105155337924672 in words is "one hundred five trillion, one hundred fifty-five billion, three hundred thirty-seven million, nine hundred twenty-four thousand, six hundred seventy-two".