106051026100608 has 160 divisors (see below), whose sum is σ = 315713611521000. Its totient is φ = 35338303862784.

The previous prime is 106051026100583. The next prime is 106051026100633. The reversal of 106051026100608 is 806001620150601.

106051026100608 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 10 + 26 + 10 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (106051026100583) and next prime (106051026100633).

It is a super-2 number, since 2×106051026100608² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28731388 + ... + 32211716.

Almost surely, 2^{106051026100608} is an apocalyptic number.

106051026100608 is a gapful number since it is divisible by the number (18) 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 106051026100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157856805760500).

106051026100608 is an abundant number, since it is smaller than the sum of its proper divisors (209662585420392).

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

106051026100608 is an equidigital number, since it uses as much as digits as its factorization.

106051026100608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483294 (or 3483273 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 106051026100608 in words is "one hundred six trillion, fifty-one billion, twenty-six million, one hundred thousand, six hundred eight".