106401155015041 has 32 divisors (see below), whose sum is σ = 119318070816000. Its totient is φ = 94354496096256.

The previous prime is 106401155014993. The next prime is 106401155015047. The reversal of 106401155015041 is 140510551104601.

It is a cyclic number.

It is not a de Polignac number, because 106401155015041 - 2⁹ = 106401155014529 is a prime.

It is a super-2 number, since 2×106401155015041² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106401155014988 and 106401155015006.

It is not an unprimeable number, because it can be changed into a prime (106401155015047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717645085 + ... + 717793333.

It is an arithmetic number, because the mean of its divisors is an integer number (3728689713000).

Almost surely, 2^{106401155015041} is an apocalyptic number.

It is an amenable number.

106401155015041 is a deficient number, since it is larger than the sum of its proper divisors (12916915800959).

106401155015041 is a wasteful number, since it uses less digits than its factorization.

106401155015041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175753.

The product of its (nonzero) digits is 12000, while the sum is 34.

The spelling of 106401155015041 in words is "one hundred six trillion, four hundred one billion, one hundred fifty-five million, fifteen thousand, forty-one".