106276584720 has 80 divisors (see below), whose sum is σ = 329956327872. Its totient is φ = 28297505280.

The previous prime is 106276584677. The next prime is 106276584727. The reversal of 106276584720 is 27485672601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106276584720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106276584720.

It is not an unprimeable number, because it can be changed into a prime (106276584727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176322 + ... + 493601.

Almost surely, 2^106276584720 is an apocalyptic number.

106276584720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106276584720 is an abundant number, since it is smaller than the sum of its proper divisors (223679743152).

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

106276584720 is a wasteful number, since it uses less digits than its factorization.

106276584720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670600 (or 670594 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 106276584720 in words is "one hundred six billion, two hundred seventy-six million, five hundred eighty-four thousand, seven hundred twenty".