106637696 has 64 divisors (see below), whose sum is σ = 236293200. Its totient is φ = 47523840.

The previous prime is 106637693. The next prime is 106637723. The reversal of 106637696 is 696736601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106637696² = 22743196416376832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106637693) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73910 + ... + 75338.

Almost surely, 2^106637696 is an apocalyptic number.

106637696 is a gapful number since it is divisible by the number (16) 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 106637696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146600).

106637696 is an abundant number, since it is smaller than the sum of its proper divisors (129655504).

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

106637696 is a wasteful number, since it uses less digits than its factorization.

106637696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 106637696 is about 10326.5529582722. The cubic root of 106637696 is about 474.2095010567.

The spelling of 106637696 in words is "one hundred six million, six hundred thirty-seven thousand, six hundred ninety-six".