106556400020 has 48 divisors (see below), whose sum is σ = 269195122560. Its totient is φ = 34610799744.

The previous prime is 106556400017. The next prime is 106556400023. The reversal of 106556400020 is 20004655601.

It is an interprime number because it is at equal distance from previous prime (106556400017) and next prime (106556400023).

It is a super-2 number, since 2×106556400020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106556400023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20026739 + ... + 20032058.

It is an arithmetic number, because the mean of its divisors is an integer number (5608231720).

Almost surely, 2^106556400020 is an apocalyptic number.

106556400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106556400020 is an abundant number, since it is smaller than the sum of its proper divisors (162638722540).

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

106556400020 is a wasteful number, since it uses less digits than its factorization.

106556400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40058832 (or 40058830 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 106556400020 in words is "one hundred six billion, five hundred fifty-six million, four hundred thousand, twenty".