106214256621 has 24 divisors (see below), whose sum is σ = 167379230304. Its totient is φ = 64367926560.

The previous prime is 106214256587. The next prime is 106214256661. The reversal of 106214256621 is 126652412601.

106214256621 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 1 + 4 + 25 + 6 + 621 = 666.

It is not a de Polignac number, because 106214256621 - 2¹³ = 106214248429 is a prime.

It is a super-2 number, since 2×106214256621² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106214256661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025090 + ... + 2076876.

It is an arithmetic number, because the mean of its divisors is an integer number (6974134596).

Almost surely, 2^106214256621 is an apocalyptic number.

106214256621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106214256621 is a deficient number, since it is larger than the sum of its proper divisors (61164973683).

106214256621 is a wasteful number, since it uses less digits than its factorization.

106214256621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72521 (or 72518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106214256621 in words is "one hundred six billion, two hundred fourteen million, two hundred fifty-six thousand, six hundred twenty-one".