106635301400 has 48 divisors (see below), whose sum is σ = 253202142240. Its totient is φ = 41746582400.

The previous prime is 106635301397. The next prime is 106635301429. The reversal of 106635301400 is 4103536601.

It is a happy number.

It is a super-2 number, since 2×106635301400² (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, 5662691 + ... + 5681490.

It is an arithmetic number, because the mean of its divisors is an integer number (5275044630).

Almost surely, 2^106635301400 is an apocalyptic number.

106635301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106635301400 is an abundant number, since it is smaller than the sum of its proper divisors (146566840840).

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

106635301400 is a wasteful number, since it uses less digits than its factorization.

106635301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344244 (or 11344235 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 106635301400 in words is "one hundred six billion, six hundred thirty-five million, three hundred one thousand, four hundred".