106616021953560 has 64 divisors (see below), whose sum is σ = 365540646700800. Its totient is φ = 24369376446336.

The previous prime is 106616021953549. The next prime is 106616021953583. The reversal of 106616021953560 is 65359120616601.

It is a happy number.

106616021953560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106616021953560² (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 15 ways as a sum of consecutive naturals, for example, 63461916990 + ... + 63461918669.

It is an arithmetic number, because the mean of its divisors is an integer number (5711572604700).

Almost surely, 2^{106616021953560} is an apocalyptic number.

106616021953560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106616021953560 is an abundant number, since it is smaller than the sum of its proper divisors (258924624747240).

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

106616021953560 is a wasteful number, since it uses less digits than its factorization.

106616021953560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126923835680 (or 126923835676 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 106616021953560 in words is "one hundred six trillion, six hundred sixteen billion, twenty-one million, nine hundred fifty-three thousand, five hundred sixty".