106185092023296 has 1320 divisors, whose sum is σ = 379130099904864. Its totient is φ = 29340729999360.

The previous prime is 106185092023253. The next prime is 106185092023303. The reversal of 106185092023296 is 692320290581601.

106185092023296 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 509 + 20 + 23 + 2 + 96 = 666.

It is a super-2 number, since 2×106185092023296² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12798006220 + ... + 12798014516.

Almost surely, 2^{106185092023296} is an apocalyptic number.

106185092023296 is a gapful number since it is divisible by the number (16) 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 106185092023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189565049952432).

106185092023296 is an abundant number, since it is smaller than the sum of its proper divisors (272945007881568).

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

106185092023296 is a wasteful number, since it uses less digits than its factorization.

106185092023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 106185092023296 in words is "one hundred six trillion, one hundred eighty-five billion, ninety-two million, twenty-three thousand, two hundred ninety-six".