106242640352460 has 36 divisors (see below), whose sum is σ = 322269342403008. Its totient is φ = 28331370760608.

The previous prime is 106242640352437. The next prime is 106242640352461. The reversal of 106242640352460 is 64253046242601.

It is a happy number.

106242640352460 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 2 + 64 + 0 + 3 + 524 + 60 = 666.

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

It is a super-2 number, since 2×106242640352460² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106242640352461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295118445244 + ... + 295118445603.

Almost surely, 2^{106242640352460} is an apocalyptic number.

106242640352460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106242640352460 is an abundant number, since it is smaller than the sum of its proper divisors (216026702050548).

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

106242640352460 is a wasteful number, since it uses less digits than its factorization.

106242640352460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590236890862 (or 590236890857 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 106242640352460 in words is "one hundred six trillion, two hundred forty-two billion, six hundred forty million, three hundred fifty-two thousand, four hundred sixty".