102155742 has 192 divisors, whose sum is σ = 278853120. Its totient is φ = 27713664.

The previous prime is 102155699. The next prime is 102155749. The reversal of 102155742 is 247551201.

102155742 is a `hidden beast` number, since 102 + 1 + 557 + 4 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102155749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2760948 + ... + 2760984.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^102155742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102155742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

102155742 is an abundant number, since it is smaller than the sum of its proper divisors (176697378).

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

102155742 is a wasteful number, since it uses less digits than its factorization.

102155742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 102155742 is about 10107.2123753288. The cubic root of 102155742 is about 467.4705551150.

The spelling of 102155742 in words is "one hundred two million, one hundred fifty-five thousand, seven hundred forty-two".