106153361220 has 48 divisors (see below), whose sum is σ = 298326244608. Its totient is φ = 28203102720.

The previous prime is 106153361219. The next prime is 106153361221. The reversal of 106153361220 is 22163351601.

It is an interprime number because it is at equal distance from previous prime (106153361219) and next prime (106153361221).

It is a super-2 number, since 2×106153361220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106153361221) 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, 3247989 + ... + 3280508.

It is an arithmetic number, because the mean of its divisors is an integer number (6215130096).

Almost surely, 2^106153361220 is an apocalyptic number.

106153361220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106153361220 is an abundant number, since it is smaller than the sum of its proper divisors (192172883388).

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

106153361220 is a wasteful number, since it uses less digits than its factorization.

106153361220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528780 (or 6528778 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 106153361220 in words is "one hundred six billion, one hundred fifty-three million, three hundred sixty-one thousand, two hundred twenty".