106160254992000 has 2560 divisors, whose sum is σ = 455883306278400. Its totient is φ = 24238448640000.

The previous prime is 106160254991981. The next prime is 106160254992013. The reversal of 106160254992000 is 299452061601.

106160254992000 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 0 + 2 + 549 + 92 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106160254992000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16950380869 + ... + 16950387131.

It is an arithmetic number, because the mean of its divisors is an integer number (178079416515).

Almost surely, 2^{106160254992000} is an apocalyptic number.

106160254992000 is a gapful number since it is divisible by the number (10) 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 106160254992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227941653139200).

106160254992000 is an abundant number, since it is smaller than the sum of its proper divisors (349723051286400).

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

106160254992000 is a wasteful number, since it uses less digits than its factorization.

106160254992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106160254992000 in words is "one hundred six trillion, one hundred sixty billion, two hundred fifty-four million, nine hundred ninety-two thousand".