106451435520 has 400 divisors, whose sum is σ = 386547045120. Its totient is φ = 27783069696.

The previous prime is 106451435507. The next prime is 106451435537. The reversal of 106451435520 is 25534154601.

106451435520 is a `hidden beast` number, since 1 + 0 + 64 + 5 + 1 + 43 + 552 + 0 = 666.

It is a super-2 number, since 2×106451435520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264924137 + ... + 2264924183.

Almost surely, 2^106451435520 is an apocalyptic number.

106451435520 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 106451435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193273522560).

106451435520 is an abundant number, since it is smaller than the sum of its proper divisors (280095609600).

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

106451435520 is an frugal number, since it uses more digits than its factorization.

106451435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 106451435520 in words is "one hundred six billion, four hundred fifty-one million, four hundred thirty-five thousand, five hundred twenty".