106347479040 has 1200 divisors, whose sum is σ = 438475935744. Its totient is φ = 24418713600.

The previous prime is 106347478997. The next prime is 106347479053. The reversal of 106347479040 is 40974743601.

106347479040 is a `hidden beast` number, since 1 + 0 + 634 + 7 + 4 + 7 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×106347479040² (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 79 ways as a sum of consecutive naturals, for example, 2262712297 + ... + 2262712343.

Almost surely, 2^106347479040 is an apocalyptic number.

106347479040 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 106347479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219237967872).

106347479040 is an abundant number, since it is smaller than the sum of its proper divisors (332128456704).

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

106347479040 is an equidigital number, since it uses as much as digits as its factorization.

106347479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 106347479040 in words is "one hundred six billion, three hundred forty-seven million, four hundred seventy-nine thousand, forty".