106109963757440 has 64 divisors (see below), whose sum is σ = 253678212396000. Its totient is φ = 42442466187264.

The previous prime is 106109963757431. The next prime is 106109963757451. The reversal of 106109963757440 is 44757369901601.

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

It is a super-2 number, since 2×106109963757440² (a number of 29 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 7 ways as a sum of consecutive naturals, for example, 15010781 + ... + 20917539.

Almost surely, 2^{106109963757440} is an apocalyptic number.

106109963757440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106109963757440 is an abundant number, since it is smaller than the sum of its proper divisors (147568248638560).

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

106109963757440 is an equidigital number, since it uses as much as digits as its factorization.

106109963757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934847 (or 5934835 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 106109963757440 in words is "one hundred six trillion, one hundred nine billion, nine hundred sixty-three million, seven hundred fifty-seven thousand, four hundred forty".