106354255392 has 1152 divisors, whose sum is σ = 416992665600. Its totient is φ = 26040268800.

The previous prime is 106354255387. The next prime is 106354255409. The reversal of 106354255392 is 293552453601.

106354255392 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 4 + 2 + 553 + 92 = 666.

It is a super-2 number, since 2×106354255392² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 765138459 + ... + 765138597.

It is an arithmetic number, because the mean of its divisors is an integer number (361972800).

Almost surely, 2^106354255392 is an apocalyptic number.

106354255392 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 106354255392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208496332800).

106354255392 is an abundant number, since it is smaller than the sum of its proper divisors (310638410208).

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

106354255392 is a wasteful number, since it uses less digits than its factorization.

106354255392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 106354255392 in words is "one hundred six billion, three hundred fifty-four million, two hundred fifty-five thousand, three hundred ninety-two".