106102010628 has 36 divisors (see below), whose sum is σ = 268748586288. Its totient is φ = 35295299760.

The previous prime is 106102010587. The next prime is 106102010659. The reversal of 106102010628 is 826010201601.

106102010628 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 20 + 10 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106102010628² (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 11 ways as a sum of consecutive naturals, for example, 2983626 + ... + 3018977.

It is an arithmetic number, because the mean of its divisors is an integer number (7465238508).

Almost surely, 2^106102010628 is an apocalyptic number.

106102010628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106102010628 is an abundant number, since it is smaller than the sum of its proper divisors (162646575660).

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

106102010628 is a wasteful number, since it uses less digits than its factorization.

106102010628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003104 (or 6003099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 106102010628 in words is "one hundred six billion, one hundred two million, ten thousand, six hundred twenty-eight".