106249920840 has 192 divisors, whose sum is σ = 394979270400. Its totient is φ = 24264976896.

The previous prime is 106249920839. The next prime is 106249920859. The reversal of 106249920840 is 48029942601.

106249920840 is a `hidden beast` number, since 1 + 0 + 62 + 499 + 20 + 84 + 0 = 666.

106249920840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106249920840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3039381 + ... + 3074139.

It is an arithmetic number, because the mean of its divisors is an integer number (2057183700).

Almost surely, 2^106249920840 is an apocalyptic number.

106249920840 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 106249920840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197489635200).

106249920840 is an abundant number, since it is smaller than the sum of its proper divisors (288729349560).

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

106249920840 is a wasteful number, since it uses less digits than its factorization.

106249920840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35996 (or 35989 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 106249920840 in words is "one hundred six billion, two hundred forty-nine million, nine hundred twenty thousand, eight hundred forty".