1102642632 has 384 divisors, whose sum is σ = 3992002560. Its totient is φ = 277136640.

The previous prime is 1102642601. The next prime is 1102642657. The reversal of 1102642632 is 2362462011.

1102642632 is a `hidden beast` number, since 1 + 1 + 0 + 26 + 4 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1102642596 and 1102642605.

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, 4068657 + ... + 4068927.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2^1102642632 is an apocalyptic number.

1102642632 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 1102642632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996001280).

1102642632 is an abundant number, since it is smaller than the sum of its proper divisors (2889359928).

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

1102642632 is a wasteful number, since it uses less digits than its factorization.

1102642632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1102642632 is about 33206.0631812927. The cubic root of 1102642632 is about 1033.1061017752.

It can be divided in two parts, 110264 and 2632, that added together give a square (112896 = 336²).

The spelling of 1102642632 in words is "one billion, one hundred two million, six hundred forty-two thousand, six hundred thirty-two".