106039087392 has 288 divisors, whose sum is σ = 357757368192. Its totient is φ = 27274469376.

The previous prime is 106039087387. The next prime is 106039087417. The reversal of 106039087392 is 293780930601.

It is a super-2 number, since 2×106039087392² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1810438 + ... + 1868090.

It is an arithmetic number, because the mean of its divisors is an integer number (1242213084).

Almost surely, 2^106039087392 is an apocalyptic number.

106039087392 is a gapful number since it is divisible by the number (12) 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 106039087392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178878684096).

106039087392 is an abundant number, since it is smaller than the sum of its proper divisors (251718280800).

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

106039087392 is a wasteful number, since it uses less digits than its factorization.

106039087392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57720 (or 57705 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 106039087392 in words is "one hundred six billion, thirty-nine million, eighty-seven thousand, three hundred ninety-two".