106274593152 has 768 divisors, whose sum is σ = 406997136000. Its totient is φ = 26358054912.

The previous prime is 106274593081. The next prime is 106274593157. The reversal of 106274593152 is 251395472601.

106274593152 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 4 + 593 + 1 + 52 = 666.

It is a super-2 number, since 2×106274593152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106274593098 and 106274593107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106274593157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87324448 + ... + 87325664.

Almost surely, 2^106274593152 is an apocalyptic number.

106274593152 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 106274593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203498568000).

106274593152 is an abundant number, since it is smaller than the sum of its proper divisors (300722542848).

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

106274593152 is a wasteful number, since it uses less digits than its factorization.

106274593152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 106274593152 in words is "one hundred six billion, two hundred seventy-four million, five hundred ninety-three thousand, one hundred fifty-two".