106201824 has 48 divisors (see below), whose sum is σ = 284053392. Its totient is φ = 34731008.

The previous prime is 106201817. The next prime is 106201841. The reversal of 106201824 is 428102601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106201824² = 22557654841853952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106201794 and 106201803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5349 + ... + 15524.

It is an arithmetic number, because the mean of its divisors is an integer number (5917779).

Almost surely, 2^106201824 is an apocalyptic number.

It is an amenable number.

106201824 is an abundant number, since it is smaller than the sum of its proper divisors (177851568).

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

106201824 is a wasteful number, since it uses less digits than its factorization.

106201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20939 (or 20931 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106201824 is about 10305.4269198321. The cubic root of 106201824 is about 473.5625225244.

It can be divided in two parts, 106 and 201824, that added together give a triangular number (201930 = T₆₃₅).

The spelling of 106201824 in words is "one hundred six million, two hundred one thousand, eight hundred twenty-four".