105415757952 has 128 divisors (see below), whose sum is σ = 292408704000. Its totient is φ = 33585091584.

The previous prime is 105415757947. The next prime is 105415757989. The reversal of 105415757952 is 259757514501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105415757952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105415757895 and 105415757904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13941949 + ... + 13949507.

It is an arithmetic number, because the mean of its divisors is an integer number (2284443000).

Almost surely, 2^105415757952 is an apocalyptic number.

105415757952 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 105415757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146204352000).

105415757952 is an abundant number, since it is smaller than the sum of its proper divisors (186992946048).

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

105415757952 is a wasteful number, since it uses less digits than its factorization.

105415757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9178 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 51.

The spelling of 105415757952 in words is "one hundred five billion, four hundred fifteen million, seven hundred fifty-seven thousand, nine hundred fifty-two".