106005011700 has 72 divisors (see below), whose sum is σ = 350523245632. Its totient is φ = 24229716480.

The previous prime is 106005011681. The next prime is 106005011701. The reversal of 106005011700 is 7110500601.

It is a super-2 number, since 2×106005011700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005011701) 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, 25237189 + ... + 25241388.

Almost surely, 2^106005011700 is an apocalyptic number.

106005011700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005011700 is an abundant number, since it is smaller than the sum of its proper divisors (244518233932).

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

106005011700 is a wasteful number, since it uses less digits than its factorization.

106005011700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50478601 (or 50478594 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 106005011700 in words is "one hundred six billion, five million, eleven thousand, seven hundred".