106277729040 has 480 divisors, whose sum is σ = 445841750016. Its totient is φ = 22125035520.

The previous prime is 106277729017. The next prime is 106277729059. The reversal of 106277729040 is 40927772601.

106277729040 is a `hidden beast` number, since 10 + 627 + 7 + 7 + 2 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×106277729040² (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 95 ways as a sum of consecutive naturals, for example, 2636074 + ... + 2676086.

Almost surely, 2^106277729040 is an apocalyptic number.

106277729040 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 106277729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222920875008).

106277729040 is an abundant number, since it is smaller than the sum of its proper divisors (339564020976).

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

106277729040 is a wasteful number, since it uses less digits than its factorization.

106277729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40087 (or 40078 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 106277729040 in words is "one hundred six billion, two hundred seventy-seven million, seven hundred twenty-nine thousand, forty".