106400896 has 32 divisors (see below), whose sum is σ = 242254080. Its totient is φ = 45600000.

The previous prime is 106400887. The next prime is 106400911. The reversal of 106400896 is 698004601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106400896² = 22642301339205632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58480 + ... + 60271.

It is an arithmetic number, because the mean of its divisors is an integer number (7570440).

Almost surely, 2^106400896 is an apocalyptic number.

106400896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106400896 is an abundant number, since it is smaller than the sum of its proper divisors (135853184).

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

106400896 is an equidigital number, since it uses as much as digits as its factorization.

106400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118772 (or 118760 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106400896 is about 10315.0809982278. The cubic root of 106400896 is about 473.8582305523.

The spelling of 106400896 in words is "one hundred six million, four hundred thousand, eight hundred ninety-six".