106624157760 has 448 divisors, whose sum is σ = 411137648640. Its totient is φ = 25896222720.

The previous prime is 106624157753. The next prime is 106624157767. The reversal of 106624157760 is 67751426601.

106624157760 is a `hidden beast` number, since 1 + 0 + 6 + 624 + 15 + 7 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106624157753) and next prime (106624157767).

It is a super-2 number, since 2×106624157760² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106624157767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4541572 + ... + 4564988.

Almost surely, 2^106624157760 is an apocalyptic number.

106624157760 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 106624157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205568824320).

106624157760 is an abundant number, since it is smaller than the sum of its proper divisors (304513490880).

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

106624157760 is a wasteful number, since it uses less digits than its factorization.

106624157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23491 (or 23475 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 106624157760 in words is "one hundred six billion, six hundred twenty-four million, one hundred fifty-seven thousand, seven hundred sixty".