106539840 has 448 divisors, whose sum is σ = 438912000. Its totient is φ = 24053760.

The previous prime is 106539827. The next prime is 106539847. The reversal of 106539840 is 48935601.

It is a super-2 number, since 2×106539840² = 22701475014451200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106539795 and 106539804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106539847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1805731 + ... + 1805789.

Almost surely, 2^106539840 is an apocalyptic number.

106539840 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 106539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456000).

106539840 is an abundant number, since it is smaller than the sum of its proper divisors (332372160).

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

106539840 is a wasteful number, since it uses less digits than its factorization.

106539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106539840 is about 10321.8137940965. The cubic root of 106539840 is about 474.0644040032.

The spelling of 106539840 in words is "one hundred six million, five hundred thirty-nine thousand, eight hundred forty".