106401720 has 64 divisors (see below), whose sum is σ = 321552000. Its totient is φ = 28165248.

The previous prime is 106401719. The next prime is 106401733. The reversal of 106401720 is 27104601.

It is a super-2 number, since 2×106401720² = 22642652037916800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13491 + ... + 19869.

It is an arithmetic number, because the mean of its divisors is an integer number (5024250).

Almost surely, 2^106401720 is an apocalyptic number.

106401720 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 106401720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160776000).

106401720 is an abundant number, since it is smaller than the sum of its proper divisors (215150280).

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

106401720 is a wasteful number, since it uses less digits than its factorization.

106401720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 106401720 is about 10315.1209396691. The cubic root of 106401720 is about 473.8594537818.

The spelling of 106401720 in words is "one hundred six million, four hundred one thousand, seven hundred twenty".