101649720 has 128 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 26036736.

The previous prime is 101649649. The next prime is 101649827. The reversal of 101649720 is 27946101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 377746 + ... + 378014.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^101649720 is an apocalyptic number.

101649720 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 101649720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

101649720 is an abundant number, since it is smaller than the sum of its proper divisors (215611080).

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

101649720 is a wasteful number, since it uses less digits than its factorization.

101649720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101649720 is about 10082.1485805358. The cubic root of 101649720 is about 466.6974152075.

The spelling of 101649720 in words is "one hundred one million, six hundred forty-nine thousand, seven hundred twenty".