106400620 has 24 divisors (see below), whose sum is σ = 236585664. Its totient is φ = 40056576.

The previous prime is 106400579. The next prime is 106400629. The reversal of 106400620 is 26004601.

It is a super-2 number, since 2×106400620² = 22642183872768800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106400629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156132 + ... + 156811.

It is an arithmetic number, because the mean of its divisors is an integer number (9857736).

Almost surely, 2^106400620 is an apocalyptic number.

106400620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106400620 is an abundant number, since it is smaller than the sum of its proper divisors (130185044).

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

106400620 is a wasteful number, since it uses less digits than its factorization.

106400620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312969 (or 312967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106400620 is about 10315.0676197493. The cubic root of 106400620 is about 473.8578208283.

The spelling of 106400620 in words is "one hundred six million, four hundred thousand, six hundred twenty".