105153411515 has 48 divisors (see below), whose sum is σ = 139610101824. Its totient is φ = 75946752000.

The previous prime is 105153411509. The next prime is 105153411527. The reversal of 105153411515 is 515114351501.

It is a happy number.

It is not a de Polignac number, because 105153411515 - 2¹² = 105153407419 is a prime.

It is a super-2 number, since 2×105153411515² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3782165 + ... + 3809865.

It is an arithmetic number, because the mean of its divisors is an integer number (2908543788).

Almost surely, 2^105153411515 is an apocalyptic number.

105153411515 is a deficient number, since it is larger than the sum of its proper divisors (34456690309).

105153411515 is a wasteful number, since it uses less digits than its factorization.

105153411515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27848 (or 27831 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 32.

The spelling of 105153411515 in words is "one hundred five billion, one hundred fifty-three million, four hundred eleven thousand, five hundred fifteen".