106014720 has 384 divisors, whose sum is σ = 424569600. Its totient is φ = 22020096.

The previous prime is 106014697. The next prime is 106014743. The reversal of 106014720 is 27410601.

It is an interprime number because it is at equal distance from previous prime (106014697) and next prime (106014743).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106014720² = 22478241713356800, which 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655666 + ... + 3655694.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^106014720 is an apocalyptic number.

106014720 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 106014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

106014720 is an abundant number, since it is smaller than the sum of its proper divisors (318554880).

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

106014720 is a wasteful number, since it uses less digits than its factorization.

106014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

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

The square root of 106014720 is about 10296.3449825654. The cubic root of 106014720 is about 473.2842550891.

The spelling of 106014720 in words is "one hundred six million, fourteen thousand, seven hundred twenty".