106904282940 has 432 divisors, whose sum is σ = 407693718432. Its totient is φ = 22474755072.

The previous prime is 106904282911. The next prime is 106904282951. The reversal of 106904282940 is 49282409601.

It is a super-2 number, since 2×106904282940² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35199102 + ... + 35202138.

Almost surely, 2^106904282940 is an apocalyptic number.

106904282940 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 106904282940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203846859216).

106904282940 is an abundant number, since it is smaller than the sum of its proper divisors (300789435492).

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

106904282940 is a wasteful number, since it uses less digits than its factorization.

106904282940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

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

The spelling of 106904282940 in words is "one hundred six billion, nine hundred four million, two hundred eighty-two thousand, nine hundred forty".