106434601400 has 48 divisors (see below), whose sum is σ = 247793850000. Its totient is φ = 42516481280.

The previous prime is 106434601393. The next prime is 106434601411. The reversal of 106434601400 is 4106434601.

It is a super-2 number, since 2×106434601400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209525 + ... + 506724.

It is an arithmetic number, because the mean of its divisors is an integer number (5162371875).

Almost surely, 2^106434601400 is an apocalyptic number.

106434601400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106434601400 is an abundant number, since it is smaller than the sum of its proper divisors (141359248600).

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

106434601400 is a wasteful number, since it uses less digits than its factorization.

106434601400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717008 (or 716999 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 106434601400 in words is "one hundred six billion, four hundred thirty-four million, six hundred one thousand, four hundred".