106694534400 has 432 divisors, whose sum is σ = 369088710144. Its totient is φ = 27091722240.

The previous prime is 106694534393. The next prime is 106694534431. The reversal of 106694534400 is 4435496601.

It is a happy number.

It is a super-2 number, since 2×106694534400² (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 47 ways as a sum of consecutive naturals, for example, 135570807 + ... + 135571593.

Almost surely, 2^106694534400 is an apocalyptic number.

106694534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106694534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184544355072).

106694534400 is an abundant number, since it is smaller than the sum of its proper divisors (262394175744).

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

106694534400 is a wasteful number, since it uses less digits than its factorization.

106694534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 106694534400 in words is "one hundred six billion, six hundred ninety-four million, five hundred thirty-four thousand, four hundred".