106338537120 has 48 divisors (see below), whose sum is σ = 334966393440. Its totient is φ = 28356943104.

The previous prime is 106338537119. The next prime is 106338537131. The reversal of 106338537120 is 21735833601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106338537120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110768830 + ... + 110769789.

It is an arithmetic number, because the mean of its divisors is an integer number (6978466530).

Almost surely, 2^106338537120 is an apocalyptic number.

106338537120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106338537120 is an abundant number, since it is smaller than the sum of its proper divisors (228627856320).

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

106338537120 is a wasteful number, since it uses less digits than its factorization.

106338537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221538637 (or 221538629 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 106338537120 in words is "one hundred six billion, three hundred thirty-eight million, five hundred thirty-seven thousand, one hundred twenty".