106001721700 has 72 divisors (see below), whose sum is σ = 263411960000. Its totient is φ = 36270495360.

The previous prime is 106001721671. The next prime is 106001721703. The reversal of 106001721700 is 7127100601.

It is a super-2 number, since 2×106001721700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (106001721703) 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, 197566 + ... + 501034.

Almost surely, 2^106001721700 is an apocalyptic number.

106001721700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106001721700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131705980000).

106001721700 is an abundant number, since it is smaller than the sum of its proper divisors (157410238300).

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

106001721700 is a wasteful number, since it uses less digits than its factorization.

106001721700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303989 (or 303982 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The spelling of 106001721700 in words is "one hundred six billion, one million, seven hundred twenty-one thousand, seven hundred".